Analysis of the semileptonic $B\to K_1 \ell^+ \ell^-$transitions and non-leptonic $B \to K_1 γ$ decay in the AdS/QCD correspondence

Momeni, S.; Khosravi, R.

doi:10.48550/arxiv.1805.07046

Cited by 1 publication

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“…Hence, the constraints on the Wilson coefficients and other parameters obtained by analyzing different new physics (NP) scenarios in B → K * ℓ + ℓ − can also be used to find the complimentary information from B → K 1 (1270, 1400)ℓ + ℓ − decays. Due to this fact, a thorough analysis of this decay has been done in different NP scenarios (see e.g., [14][15][16][17][18][19][20] and references therein). Despite, rigorous NP studies in B → K 1 (1270, 1400)ℓ + ℓ − decays, the contributions arising from the symmetry breaking corrections to the form factors are still missing in the literature and the main motivation of the present study is to fill this gap.…”

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confidence: 99%

Vertex renormalization and hard scattering symmetry breaking corrections to B to axial vector meson form factors at large recoil

et al. 2019

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The symmetries arise due to heavy quark and large energy limit help us to reduce the number of independent form factors in the heavy-to-light B-meson decays. It is expected that these symmetry relations are not exact and are broken by the perturbative effects, namely, the vertex corrections and the hard-spectator scatterings. The former are included in the form factors via vertex renormalization whereas the later are calculated through lightcone distribution amplitudes. We first calculate these symmetry breaking corrections to the form factors involved in semileptonic B-meson to an axial-vector (K 1 )-meson decay. Later, by using these form factors we see their effect on the physical observables such as the zero-position of the forward-backward (A F B ) asymmetry and the longitudinal lepton polarization (P L ) asymmetry in B → K 1 (1270)µ + µ − decay. We find that as a result of these corrections to the form factors, the zero-position of the forward-backward asymmetry is shifted by 10% from its SM value while the effects on P L are rather insignificant.

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